Statistics MCQs
Statistics MCQs serve as an essential tool for students, researchers, and exam candidates to understand and master the fundamentals of statistical analysis. This category features a rich set of multiple-choice questions covering topics such as probability, sampling, hypothesis testing, measures of central tendency and dispersion, correlation, regression, and data interpretation. These MCQs are ideal for test preparations including CSS, NTS, PMS, GAT, university entrance exams, and job recruitment tests where statistical knowledge is tested. The questions range from basic theory to practical problem-solving scenarios, allowing learners to evaluate and enhance their conceptual understanding. Practicing regularly not only strengthens your analytical skills but also prepares you to apply statistical techniques in real-world contexts. This category is particularly useful for students in social sciences, economics, business, and research-based programs. Improve your statistical thinking by solving our curated Statistics MCQs.
Q: A normal distribution is fully described by
A) Median and range
B) Mean and median
C) Mean and standard deviation
D) Mean and mode
✅ Correct Answer: C
Explanation: A normal distribution is characterized by its mean and standard deviation.
Q: The empirical rule states that in a normal distribution about 68% of data falls within
A) 4 SD
B) 2 SD
C) 1 SD
D) 3 SD
✅ Correct Answer: C
Explanation: The empirical rule says approximately 68% of values fall within one standard deviation of the mean.
Q: The expected value of a random variable represents
A) Maximum value
B) Average outcome
C) Most frequent value
D) Spread
✅ Correct Answer: B
Explanation: Expected value is the theoretical average of all possible outcomes.
Q: The sum of squared deviations from the mean is minimized by the
A) Mode
B) Median
C) Range
D) Mean
✅ Correct Answer: D
Explanation: The mean minimizes the sum of squared deviations in a data set.
Q: Probability of A or B when events are not mutually exclusive
A) P(A) + P(B) – P(A∩B)
B) P(A) + P(B)
C) P(A) ÷ P(B)
D) P(A) × P(B)
✅ Correct Answer: A
Explanation: The formula accounts for the overlap between events to avoid double counting.
Q: Quartiles divide a data set into
A) 2 equal parts
B) 5 equal parts
C) 4 equal parts
D) 3 equal parts
✅ Correct Answer: C
Explanation: Quartiles split data into four equal parts.
Q: Type I error occurs when
A) Null is true but rejected
B) Hypothesis is proven
C) Null is false and accepted
D) Alternative is true
✅ Correct Answer: A
Explanation: A Type I error means rejecting a true null hypothesis.
Q: Standard deviation is a measure of
A) Spread of data
B) Sample size
C) Association
D) Central tendency
✅ Correct Answer: A
Explanation: Standard deviation quantifies how much the data varies from the mean.
Q: A positively skewed distribution has
A) Equal tails
B) Symmetric shape
C) Long tail on right
D) Long tail on left
✅ Correct Answer: C
Explanation: In a positively skewed distribution, the tail extends to the right.
Q: Correlation coefficient ranges from
A) 0 to 1
B) -2 to +2
C) 1 to 10
D) -1 to +1
✅ Correct Answer: D
Explanation: The Pearson correlation coefficient lies between -1 and +1.